Add to ORKGAbstract. The Kustin-Miller complex construction, due to A. Kustin and M. Miller, can be applied to a pair of resolutions of Gorenstein rings with certain properties to obtain a new Gorenstein ring and a resolution of it. It gives a tool to construct and analyze Gorenstein rings of high codimension. We describe the Kustin-Miller complex and its implementation in the Macaulay2 package KustinMiller, and explain how it can be applied to explicit examples. 1
AbstractIn this paper, we make the notion of approximating an Artinian local ring by a Gorenstein Ar...
We present a method to inductively construct Gorenstein ideals of any codimension c. We start from a...
Commutative algebra is the study of commutative rings and other abstract structures based on commuta...
A main ingredient for the Kustin-Miller unprojection is the module Hom(R)(I, omega(R)), where R is a...
Gorenstein projection plays a key role in birational geometry; the typical example is the linear pro...
Kustin--Miller unprojection constructs more complicated Gorenstein rings from simpler ones. Geometr...
We present a generalization of Macaulayâ s Inverse System to higher dimensions. To date a general ...
AbstractI first define Koszul modules, which are a generalization to arbitrary rank of complete inte...
Macaulay's Inverse System gives an effective method to construct Artinian Gorenstein $k$-algebras. ...
Gorenstein rings are presented and characterized, and the concept of Gorenstein dimension, which par...
Let R be the power series ring or the polynomial ring over a field k and let I be an ideal of R. Mac...
AbstractA complex C is called Gorenstein injective if there exists an exact sequence of complexes ⋯→...
We analyze the structure of spinor coordinates on resolutions of Gorenstein ideals of codimension fo...
Abstract. The concept of Gorenstein dimension, defined by Auslander and Bridger for finitely generat...
In this paper, we study Cartan-Eilenberg Gorenstein flat complexes. We show that over coherent rings...
AbstractIn this paper, we make the notion of approximating an Artinian local ring by a Gorenstein Ar...
We present a method to inductively construct Gorenstein ideals of any codimension c. We start from a...
Commutative algebra is the study of commutative rings and other abstract structures based on commuta...
A main ingredient for the Kustin-Miller unprojection is the module Hom(R)(I, omega(R)), where R is a...
Gorenstein projection plays a key role in birational geometry; the typical example is the linear pro...
Kustin--Miller unprojection constructs more complicated Gorenstein rings from simpler ones. Geometr...
We present a generalization of Macaulayâ s Inverse System to higher dimensions. To date a general ...
AbstractI first define Koszul modules, which are a generalization to arbitrary rank of complete inte...
Macaulay's Inverse System gives an effective method to construct Artinian Gorenstein $k$-algebras. ...
Gorenstein rings are presented and characterized, and the concept of Gorenstein dimension, which par...
Let R be the power series ring or the polynomial ring over a field k and let I be an ideal of R. Mac...
AbstractA complex C is called Gorenstein injective if there exists an exact sequence of complexes ⋯→...
We analyze the structure of spinor coordinates on resolutions of Gorenstein ideals of codimension fo...
Abstract. The concept of Gorenstein dimension, defined by Auslander and Bridger for finitely generat...
In this paper, we study Cartan-Eilenberg Gorenstein flat complexes. We show that over coherent rings...
AbstractIn this paper, we make the notion of approximating an Artinian local ring by a Gorenstein Ar...
We present a method to inductively construct Gorenstein ideals of any codimension c. We start from a...
Commutative algebra is the study of commutative rings and other abstract structures based on commuta...